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" The angles in the same segment of a circle are equal to one another. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 81
av Euclid, Robert Simson - 1829 - 516 sider
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - 1863 - 317 sider
...6, С d, С с, &с. See the 21st proposition of the third book of Euclid, that all angles contained in the same segment of a circle are equal to one another. The radius is equal to 20 chains, or 1320 feet The angles E В С and E С В are each 30 degrees,...
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A practical treatise on ... land and engineering surveying, Volum 34

Henry S. Merrett - 1863
...B 6, C rf, C c, &c. See the 21st proposition of the third book of Euclid, that all angles contained in the same segment of a circle are equal to one another. The radius is equal to 20 chains, or 1320 feet. The angles EBC and ECB are each 30 degrees, which,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Let AB CD be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. "LetABCD\ie a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall...
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The Calcutta University Calendar

University of Calcutta - 1864
...alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a circle are equal to one another. If two circles cut each other the line joining their centres bisects their common chord ; and the common...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...double of the remaining angle BAC. Therefore, the angie at the centre, &c. QED PROP. XXI THEOREM. The angles in the same segment of a circle are equal to one another. (References — Prop. m. 1, 20.) Let ABCD be a circle, and BAD, BED, angles in the same segment BAED....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 sider
...therefore the remaining angle BDC is double of the remaining angle BAC. B PROP. XXI. THEOR. The angles m the same segment of a circle are equal to one another....centre of the circle ABCD: And, first, let the segment 15 A HI) be greater than a semicircle, and join BF, FD : and because the angle li FD is at the centre,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...of the remaining angle BA C. Wherefore, the angle at the centre &c. QED PROPOSITION 21. THEOREM. The angles in the same segment of a circle are equal to...angles in the same segment BAED: the angles BAD, BED shall be equal to one another. Take F the centre of the circle ABCD. [III. 1. First let the segment...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...angle BAC. Wherefore, the angle at the centre &c. QED PROPOSITION 21. THEOREM. The angles in the tame segment of a circle are equal to one another. Let...angles in the same segment BAED: the angles BAD, BED shall be equal to one another. Take F the centre of the circle ABCD. [III. 1. First let the segment...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...the remaining angle BA C. .. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Let AB CD be a circle, , and BAD, BED angles in the same segment BAED. ' Then the angles BAD, BED shall...
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